A Bridge between Conway-Coxeter Friezes and Rational Tangles through the Kauffman Bracket Polynomials

2018/06/13 by Takeyoshi Kogiso, Kogiso, Takeyoshi, Michihisa Wakui +1
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1806.04840

openalex publication_date 2018/06/13 · openalex created_date 2018/06/21 · openalex updated_date 2026/07/28

Abstract

In the present paper, we build a bridge between Conway-Coxeter friezes and rational tangles through the Kauffman bracket polynomials. One can compute a Kauffman bracket polynomials attached to rational links by using Conway-Coxeter friezes. As an application one can give a complete invariant on Conway-Coxeter friezes of zigzag-type.

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